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Finding the Fourth Proportional to 422,112.46, 582,512.52 and 228,518.74

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Solution

The fourth proportional to 422,112.46, 582,512.52 and 228,518.74 is: 315,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,112.46 : 582,512.52 = 228,518.74 : x
  2. Step 2: Convert to fraction form
    422,112.46/582,512.52 = 228,518.74/x
  3. Step 3: Cross multiply
    422,112.46x = 582,512.52 × 228,518.74
  4. Step 4: Simplify right side
    422,112.46x = 133,115,027,104.63
  5. Step 5: Solve for x
    x = 133,115,027,104.63/422,112.46
  6. Step 6: Final answer
    x = 315,354.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.